The sides of ∆ABC are 30 units, 40 units, and 60 units long. The corresponding sides of ∆XYZ are r times as long as the sides of ∆ABC.
The expression that gives the perimeter of ∆XYZ is . If the area of ∆ABC is n square units, the area of ∆XYZ is square units.

So, something special happens to perimeter and area if you scale a figure by some factor. let's say you make a figure twice as big, well, the perimeter also gets twice as big. Area though will get 4 times as big. more generally, if you scale a figure by x, the perimeter also scales by x, while the area scales by x^2.

So for this triangle, the perimeter of abc is 30 + 40 + 60, then when you scale them by r the perimeter becomes 30r + 40r + 60r or (30 + 40 +60)r. of course 30 + 60 + 40 is 130 so the perimeter of xyz is 130r

Now for area, the problem just vices us the area as n. Scaling the sides by r makes the area n*r^2. This is for all shapes. If you want to check try on a random triangle, or more easily a square

marquezserna036543 marquezserna036543 · Answer 2 · 2021-04-21T20:30:51+02:00

marquezserna036543 marquezserna036543

21-04-2021

Answer:

so the answer will be 130r and nr

Step-by-step explanation:

straight to the point PLATO users

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The sides of ∆ABC are 30 units, 40 units, and 60 units long. The corresponding sides of ∆XYZ are r times as long as the sides of ∆ABC. The expression that gives the perimeter of ∆XYZ is . If the area of ∆ABC is n square units, the area of ∆XYZ is square units.

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The sides of ∆ABC are 30 units, 40 units, and 60 units long. The corresponding sides of ∆XYZ are r times as long as the sides of ∆ABC.
The expression that gives the perimeter of ∆XYZ is . If the area of ∆ABC is n square units, the area of ∆XYZ is square units.